Connectedness of Kisin varieties associated to absolutely irreducible Galois representations

doi:10.1515/crelle-2022-0011

	Connectedness of Kisin varieties associated to absolutely irreducible Galois representations
	Chen, Miaofen 2; Nie, Sian 1,3
刊名	JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
	2022-02-25
页码	24
ISSN号	0075-4102
DOI	10.1515/crelle-2022-0011
英文摘要	We consider the Kisin variety associated to an n-dimensional absolutely irreducible mod p Galois representation (rho) over bar of a p-adic field K together with a cocharacter mu. Kisin conjectured that the Kisin variety is connected in this case. We show that Kisin's conjecture holds if K is totally ramified with n = 3 or mu, is of a very particular form. As an application, we get a connectedness result for the deformation ring associated to (rho) over bar of given Hodge-Tate weights. We also give counterexamples to show Kisin's conjecture does not hold in general.
WOS研究方向	Mathematics
语种	英语
出版者	WALTER DE GRUYTER GMBH
WOS记录号	WOS:000761301300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60053]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Miaofen
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Chinese Acad Sci, 19 A,Yuquan Rd, Beijing 100049, Peoples R China 2.East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, 500 Dong Chuan Rd, Shanghai 200241, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Miaofen,Nie, Sian. Connectedness of Kisin varieties associated to absolutely irreducible Galois representations[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2022:24.
APA	Chen, Miaofen,&Nie, Sian.(2022).Connectedness of Kisin varieties associated to absolutely irreducible Galois representations.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,24.
MLA	Chen, Miaofen,et al."Connectedness of Kisin varieties associated to absolutely irreducible Galois representations".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2022):24.